Solar eclipse: Eye health warning

The rule is that one should not stare at a solar eclipse because the effect could damage the eye.  When I was a kid, during the Hippy days when people would stare at the sun during the day and then stare at the moon at night. Staring at the sun is outright harmful to the eye but the rumor had it that if one stared at the moon at night then it would negate the effects of the damage that sun caused during the day.